Least Common Multiple of 4492/32, 7670/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4492/32, 7670/317 quickly i.e. 17226820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4492/32, 7670/317 is 17226820.

LCM(4492/32, 7670/317) = 17226820

LCM of 4492/32, 7670/317

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4492/32,7670/317

Given numbers are 4492/32,7670/317

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4492,7670

Least Common Multiple of Numerators i.e. LCM of 4492,7670 is 17226820.

GCF of Denominators means GCF of 32,317 as per the given fractions.

GCF of 32,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4492,7670

LCM of Fractions 4492/32,7670/317 is 17226820

2 4492, 7670
2246, 3835

∴ So the LCM of the given numbers is 2 x 2246 x 3835 = 17226820

Least Common Multiple of 4492,7670 with GCF Formula

Least Common Multiple of 4492,7670 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4492,7670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4492,7670) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(4492,7670) x common factors =2 x 1 = 2

LCM(4492,7670) = ( 4492 × 7670 ) / 2

LCM(4492,7670) = 34453640 / 2

LCM(4492,7670) = 17226820


Lets's calculate GCF of 32,317

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17226820/1

Therefore the LCM of Fractions 4492/32,7670/317 is 17226820

Greatest Common Factor of 32,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,317 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 32,317 . The biggest common factor number is the GCF number.
So the greatest common factor 32,317 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4492/32, 7670/317

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4492/32, 7670/317?

Answer: LCM of Numerators as per given numbers 4492/32, 7670/317 is

LCM of Numerators i.e. for 4492,7670 is 17226820

GCF of denominators i.e. for 32,317 is 1.

Thus, LCM of Fractions is 17226820.Finally, LCM of Fractions for 4492/32, 7670/317 is 17226820.